On the number of periodic reflecting rays in generic domains. (English) Zbl 0668.58005

Authors’ abstract: We prove that for generic domains \(\Omega \subset {\mathbb{R}}^ n\) with smooth boundary X for every integer \(s\geq 2\) there is at most a finite number of periodic reflecting rays with just s reflections on X.
Reviewer: J.Mihut


58A99 General theory of differentiable manifolds
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